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The sum of three positive integers is 42. The smallest integer is five less than the middle integer. The middle integer is three less than half the greatest integer. Define a variable, write an equation and solve to find the three integers.

 Sep 1, 2020
 #1
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Form an equation, but with what? You'll need variables, so make them! (Here is a lovely recipe for variables)

 

Let:

 

s = smallest number

m = middle number

l = largest number

 

But...you can't just add that!

 

Let's write everything in terms of "m".

 

s = m - 5

m = m

l = 2m + 3

 

Now...we add!

 

m - 5 + m + 2m + 3 = 42

4m - 2 = 42

4m = 44

m = 11

 

Now, we plug m back into the original variables:

 

s = 11 - 5 = 6

l = 2(11) + 3 = 25

 

So, the 3 numbers are [6, 11, 25]

 

Did you actually press on the link? No recipe? Just a definition? Sorry...have some cookies! (They are up at the top shelf of my pantry...they taste nice, but not as good as Ginger's banana daiquiri! I managed to sneak a sip...hope she doesn't realize!)

 

:)

 Sep 1, 2020

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